Question

identify the domain and range and sketch the graph of y=1/ x-2

Answer 1

\[y=\frac{1}{x-2}\]?

Answer 2

yup !

Answer 3

to find the domain, solve
\[x-2=0\] in your head and then say "all real number except \(x=2\)"

Answer 4

as for the range, a fraction is only zero if the numerator is
your numerator is 1, so it is never zero
range: all real numbers except 0

Answer 5

and how would we write those out?

Answer 6

i just wrote them out
what would you like to write?

Answer 7

I meant like putting it in parenthesis

Answer 8

oh like

\[(-\infty,2)\cup(2, \infty)\]?

Answer 9

Oh!! totally got it now! Thanks!! :)

Answer 10

that is a kind of long winded way of saying \(x\neq 2\)

Answer 11

yw

Answer 12

one more question, how would we go about graphing that ?

Answer 13

@satellite73